Positive flow-spines and contact 3-manifolds, II

被引：0

作者：

Ishii, Ippei ^{[1
]}

Ishikawa, Masaharu ^{[2
]}

Koda, Yuya ^{[2
,3
]}

Naoe, Hironobu ^{[4
]}

机构：

[1] Keio Univ, Fac Sci & Technol, Dept Math, 3-14-1 Hiyoshi,Kohoku Ku, Yokohama 2238522, Japan

[2] Keio Univ, Dept Math, Hiyoshi Campus,4-1-1 Hiyoshi,Kohoku, Yokohama 2238521, Japan

[3] Hiroshima Univ, Int Inst Sustainabil Knotted Chiral Meta Matter WP, 1-7-1 Kagamiyama, Higashihiroshima 7398526, Japan

[4] Chuo Univ, Dept Math, 1-13-27 Kasuga,Bunkyo Ku, Tokyo 1128551, Japan

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2024年 / 203卷 / 03期

关键词：

3-Dimensional manifold; Contact structure; Flow; Spine; Polyhedron;

D O I：

10.1007/s10231-023-01400-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In our previous paper, it is proved that for any positive flow-spine P of a closed, oriented 3-manifold M, there exists a unique contact structure supported by P up to isotopy. In particular, this defines a map from the set of isotopy classes of positive flow-spines of M to the set of isotopy classes of contact structures on M. In this paper, we show that this map is surjective. As a corollary, we show that any flow-spine can be deformed to a positive flow-spine by applying first and second regular moves successively.

引用

页码：1251 / 1266

页数：16

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